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Finding the Third Proportional to 344,472.75 and 738,776.25

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Solution

The third proportional to 344,472.75 and 738,776.25 is: 1,584,422.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,472.75 : 738,776.25 = 738,776.25 : x
  2. Step 2: Convert to fraction form
    344,472.75/738,776.25 = 738,776.25/x
  3. Step 3: Cross multiply
    344,472.75x = 738,776.25 × 738,776.25
  4. Step 4: Simplify right side
    344,472.75x = 545,790,347,564.06
  5. Step 5: Solve for x
    x = 545,790,347,564.06/344,472.75
  6. Step 6: Final answer
    x = 1,584,422.42

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.